Viktor Ivanov, Sergey Girlin
The paper presents the main notions, mathematical models, and applications of the novel branch of mathematics called the Mathematical Theory of Development. This field seeks to provide a rigorous framework for understanding complex systems by integrating principles of optimization, systems theory, and developmental biology. By applying these mathematical models, researchers can better predict and manipulate the developmental processes in biological systems, enabling advancements in biotechnology and systems biology. The paper further explores the potential applications of this theory in solving real-world optimization problems, offering a new perspective on the development and evolution of complex systems.